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3 years ago

Using Figure 4, complete these functions.

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

Answer:

D. 21/29

Step-by-step explanation:

Formulas used:

sin θ = sin (180 - θ)
sin θ = opposite/hypotenuse

Opposite:

y- coordinate of given point = 21

Hypotenuse:

√x²+y² = √20²+21²= √841 = 29

Then

sin θ = 21/29

Correct choice is D

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we are given

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first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

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